The smoothness indicators (REF ) are smoother than the smoothness
indicators presented in [1]}, which are constructed based
on the total variation measurement of a stencil in \(L_{1}-\) norm.
The Taylor expansion of these smoothness indicators \(\beta _{k}\)  satisfies
the sufficient condition
\(\beta _{k}=D(1+O(\Delta x^{2})),\) 
